Respuesta :

Answer: 36.56

Step-by-step explanation:

To solve the equation, first acknowledge that the radius of the quarter circle shown at the top of the figure is 4 cm, so the rectangle's dimensions are 4 by (10-4) or 4 by 6, meaning the area is 24 cm^2.

Then address the circle, with an area of pi * r^2.

pi * r^2

3.14 *(4)^2

3.14 * 16

50.24

Then, because the figure shows 1/4 of a circle, divide 50.24 by 4.

50.24/4

12.56

Then add 24 to 12.56 to get 36.56.

Hope it helps :) and let me know if you want me to elaborate.